Trigonometry

12 * 5/6 = (12*5)/6 = 60/6 = 10

1 + cot2x = csc2x

• No. Cosine, along with sec, is an even function. The odd functions are sin, tan, csc, and cot. The reason for this is because is you take the opposite of the y-value for the cosine function, the overall value of the function is not affected.
• Take, for example, cos(60 degrees), which equals POSITIVE 1/2.
• If you flip it over the x-axis, making the y's negative, it becomes cos(-60 degrees), or cos(300 degrees). This equals POSITIVE 1/2.
• Now let's look at an odd function. For example, sin(30 degrees) equals POSITIVE 1/2. Now take the opposite of this.
• sin(-30 degrees), or sin(330 degrees), equals NEGATIVE 1/2. This is because it is found in the fourth quadrant, where the y's are negative. Sine of theta, by definition, is y divided by r. If y is negative, sine is negative.

The six main trigonometric functions are

sin(x)=opposite/hypotenuse

cos(x)=adjacent/hypotenuse

tan(x)=opposite/adjacent

csc(x)=hypotenuse/opposite

cot(x)=adjacent/opposite

sec(x)=hypotenuse/adjacent

Where hypotenuse, opposite, and adjacent correspond to the three sides of a right triangle and x corresponds to an angle in that right triangle.

Angle of elevation: tangent angle = opposite/adjacent and by rearranging the given formula will help to solve the problem

It is: tan(86.05)*5 = 72.411 metres to 3 decimal places

sinθ = O/H

cosθ = A/H

tanθ = O/A

cosθ*tanθ = A/H * O/A = AO/AH = O/H

Therefore, sinθ = cosθtanθ = O/H

(Notes: O=opposite, A=adjacent, H=hypotenuse)

Cos(120) = -0.5

-16t2 + 64t + 1224 = 0

Multiply both sides by -1

16t2 - 64t - 1224 = 0

Divide both side by 8

2t2 - 8t - 153 = 0

Cannot be factored so use the formula (-b (+ or -)(root of b2 - 4ac)) / 2a

They are imaginary lines drawn on spheres such as the earth, sun, moon, planets to simplify the location of points of interest.

An angle of 213 degrees is a reflex angle

tan(20 deg) = 0.3640 approx.

You seem not to be aware but you could have obtained the answer much more easily and quickly by using the calculator that comes as part of your computer.

Cotangent(0.675 radians) = 84.88 approx.

It means the ratio of the opposite angle to the hypotenuse of a triangle for angle "x". This is for a right triangle.

2 sin^2 theta = 1/4

sin^2 theta = 1/8

sin theta = sqrt(1/8)

theta = arcsin(sqrt(1/8))

It depends if you want the answer in radians or degrees.

Either way, the answer is -0.984807753 degrees or -0.3056143889 radians.

Often people involved in industrial production will use polar graphs to program their machines; take, for, example, a pretzel-making machine. They can graph the path the "dough-shaping" machine must follow on a polar graph.

-2(cot2theta)

sin/cos

The INV button is the same as the SHIFT button on the top left corner of the buttons (the leftmost button under the screen).

Dependent on what side you are given you would use Sin(Θ) = Opposite/Hypotenuse just rearrange the formula to Hypotenuse = Opposite/Sin(Θ).

Or if you are given the adjacent side use Cosine(Θ)=Adjacent/Hypotenuse, then:

Hypotenuse = Adjacent/Cosine(Θ)

The Formula is Base*Height, or 1/2 Height (altitude of the triangle) * Base (of the Triangle) * height (Height of the prism)

The values of tan are limitless (that is to say, within [-inf, inf]). However, sin and cos ratios are between -1 and 1. Think about it: sin = opposite/hypotenuse. Since hypotenuse is always larger than or equal to opposite, sin must always be less than 1. Same with cos.